## Unique continuation principles for the Benjamin-Ono equation

*Iorio, Rafael José*;

- Publisher: Khayyam Publishing, Inc.
- Journal: issn: 0893-4983
- Subject: 35Q53 | 35B60 | 76B15

Let $\sigma$ denote the Hilbert transform and $\mu\geq0$. We prove that if $u\in C\left(
\left[ 0,T\right] ,H^{2}\left( \mathbb{R}\right) \cap L_{2}^{2}\left( \mathbb{R}\right)
\right) $ is a solution of \[
\partial_{t}u+2\sigma\partial_{x}^{2}u+u\partial_{x}u=... View more

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